Inside Out

Part of K C Cole’s teaser for tomorrow’s Categorically Not! – Inside Out said:

Sometimes the results are surprising: circles in the plane can’t be turned inside out, but spheres in 3-dimensional space can be.

This is all the license I need to show you* this wonderful 21 minute video showing exactly that (and explaining some rather beautiful mathematics along the way):

Direct link to the Google Video (for larger viewing) here.



*Via This Week’s Finds #257.

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5 Responses to Inside Out

  1. Plato says:

    Is there a direct link between how we use consciousness and mathematics to present “consistency in our sociological thinking?”

    So if we used a circle and a sphere “more correctly” we can expand the philosophy we are developing according to the inhernet nature of that math? Would you want too?

  2. Pingback: Inside Out from the Inside - Asymptotia

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  4. John says:

    Hi, Professor. Johnson

    This is John Chae from phys408b last semester.

    I was looking around your website and happened to wonder into this site. Actually, the reason was the name of this website. )

    This video clip was REALLY amazing. I never thought about it. Of course.

    I was amazed by the idea and its lower dimension analogy to a circle. I will visit

    whenever I have time from now on.



  5. Clifford says:

    Hi John!

    I hope all is well.

    Thanks for stopping by! Come back soon!